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In LS coupling, an atomic term symbol specifies total electronic spin , total orbital angular momentum , and total angular momentum . The superscript is the spin multiplicity; the letters denote . Coupling gives , and a fixed- level has magnetic substates before an external field resolves them. For example, has and levels , containing states altogether. A term symbol does not itself specify the radial electron configuration.
Electrons partially shield an atomic nucleus electric charge. At large distances a neutral chemical atom therefore does not generate the unscreened Coulomb potential of its bare atomic nucleus.
An atom is monovalent in a specified bonding or conduction model when its relevant valence is one. In the simple metallic free electron model, one monovalent atom per primitive unit cell supplies one conduction electron per cell. Counting the two spin states then fills half of a single energy band at zero temperature.
A muonic atom has a negative muon bound in the Coulomb potential of an atomic nucleus. Its much larger reduced mass than in an electronic chemical atom greatly reduces the orbital scale, increasing sensitivity of transition energies to the nuclear charge radius and nuclear charge distribution. Measuring muonic X-ray transitions therefore complements electron scattering. Strong relativistic and nuclear-size effects in heavy systems require a treatment beyond a point-nucleus nonrelativistic Coulomb spectrum.
Inferring distance by combining angular orbital motion with a physical orbital scale, for example from Doppler spectroscopy. The mass-distance degeneracy of an angular stellar orbit gives a worked example.
Machine learning develops computational methods whose behaviour is learned from data. Statistical learning supplies methods for reasoning about prediction, uncertainty and generalization.
Antibiotic resistance is the ability of a microorganism to grow or survive under specified antibiotic exposure that inhibits a susceptible comparison.
The antenna temperature expresses the noise power delivered by a receiving antenna as an equivalent input noise temperature. It depends on the sky and surroundings weighted by the antenna beam pattern, as well as losses in the antenna; it need not be the physical temperature of either the antenna or a single astronomical source.
Antenna gain compares the far-field energy flux in a specified direction with the flux that an isotropic radiator would produce using the same input power. Thus . Gain includes radiation efficiency; it must be distinguished from a voltage or current amplifier gain and from directivity when losses matter.
An antenna aperture describes the collecting area associated with a receiving antenna. The antenna effective area need not equal its geometric projected area.
The Friis transmission equation describes a far-field free-space antenna link with aligned directions, matched polarizations and negligible additional loss. It follows by multiplying the transmitter's axial energy flux by the receiver's antenna effective area . A receiving impedance mismatch multiplies the available received power by . Wavelength scaling must state which gains, apertures and impedances are held fixed.
Radiation resistance represents emitted electromagnetic power as a real input resistance of an antenna. It does not describe conversion to heat inside the conductor. If peak current amplitude is used, . Real ohmic loss adds a separate resistance and lowers radiation efficiency. For an ideal short uniform-current element of length , the Hertzian dipole gives in ohms, using the usual vacuum impedance approximation .
A phased array combines radiation from spatially separated antennas with controlled relative phases. Changing those phases steers the direction of constructive interference without moving the elements. For an equally spaced linear array with spacing , free-space wavenumber and phase increment , a principal beam at angle from the array normal satisfies when the time dependence is and the element drives are .
Single-sideband modulation transmits one of the two translated message bands generated by amplitude modulation. For a real signal, the transmitted negative-frequency band is the complex conjugate of the positive-frequency band. Removing the redundant band reduces the required signal bandwidth. The carrier wave may also be suppressed; its retention or removal must be specified separately.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





